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Stability for one-dimensional discrete dynamical systems

dc.contributor.authorSegura, Juan
dc.contributor.authorPerán Mazón, Juan Jacobo
dc.date.accessioned2025-06-25T16:51:32Z
dc.date.available2025-06-25T16:51:32Z
dc.date.issued2020-02-01
dc.descriptionThis is an Accepted Manuscript of an article published by American Institute of Mathematical Sciences in "Discrete and Continuous Dynamical Systems - B (DCDS-B), 25(2). (2020)", available at: https://doi.org/10.3934/dcdsb.2019258
dc.description.abstractWe present a new method to study the stability of one-dimensional discrete-time models, which is based on studying the graph of a certain family of functions. The method is closely related to exponent analysis, which the authors introduced to study the global stability of certain intricate convex combinations of maps. We show that the new strategy presented here complements and extends some existing conditions for the global stability. In particular, we provide a global stability condition improving the condition of negative Schwarzian derivative. Besides, we study the relation between this new method and the enveloping technique.en
dc.description.versionversión original
dc.identifier.citationDaniel Franco, Juan Perán, Juan Segura. "Stability for one-dimensional discrete dynamical systems revisited. Discrete and Continuous Dynamical Systems - B, 2020, 25(2): 635-650". doi: 10.3934/dcdsb.2019258
dc.identifier.doihttps://doi.org/10.3934/dcdsb.2019258
dc.identifier.issn1553-5231, ISSNe 1937-1179
dc.identifier.urihttps://hdl.handle.net/20.500.14468/26923
dc.journal.issue2
dc.journal.titleDiscrete and Continuous Dynamical Systems - B (DCDS-B
dc.journal.volume25
dc.language.isoen
dc.page.final650
dc.page.initial635
dc.publisherAmerican Institute of Mathematical Sciences
dc.relation.centerFacultades y escuelas::E.T.S. de Ingenieros Industriales
dc.relation.departmentMATEMÁTICA APLICADA I
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.uriAtribución-CompartirIgual 4.0 Internacional
dc.subject12 Matemáticas
dc.subject33 Ciencias Tecnológicas
dc.subject53 Ciencias Económicas
dc.subject.keywordsGlobal stabilityen
dc.subject.keywordsdiscrete dynamical systemen
dc.subject.keywordsenvelopingen
dc.subject.keywordsSchwarzian derivativeen
dc.subject.keywordspopulation modelen
dc.titleStability for one-dimensional discrete dynamical systemsen
dc.typeartículoes
dc.typejournal articleen
dspace.entity.typePublication
relation.isAuthorOfPublication024d8fb0-a117-4839-8f61-1ad45ee0fdb4
relation.isAuthorOfPublication.latestForDiscovery024d8fb0-a117-4839-8f61-1ad45ee0fdb4
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